Define T: R → R² by T(x) = Ax. Find a basis B for R? with the property that [T]B is diagonal. 4 - 3 A = - 5 2 A basis for R2 with the property that [T], is diagonal is { }. (Type a vector or list of vectors. Use a comma to separate vectors as needed.)
Define T: R → R² by T(x) = Ax. Find a basis B for R? with the property that [T]B is diagonal. 4 - 3 A = - 5 2 A basis for R2 with the property that [T], is diagonal is { }. (Type a vector or list of vectors. Use a comma to separate vectors as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Define T : R
? –→ R? by T(x) = Ax. Find a basis B for R? with the property that [T]R is diagonal.
2
%3D
4 - 3
A =
- 5
A basis for R? with the property that [T]B is diagonal is { }.
(Type a vector or list of vectors. Use a comma to separate vectors as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5f558a7-14fc-4024-84d6-4debb1adc6f6%2F50cd8a26-b92b-4741-a749-52ba548a6f39%2F8arqwv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Define T : R
? –→ R? by T(x) = Ax. Find a basis B for R? with the property that [T]R is diagonal.
2
%3D
4 - 3
A =
- 5
A basis for R? with the property that [T]B is diagonal is { }.
(Type a vector or list of vectors. Use a comma to separate vectors as needed.)
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